Numerical Simulation of the Flow Around Missiles dur-ing Transonic and Supersonic Flights
Authors: Bykov L.V., Pashkov O.A., Pravidlo M.N. | Published: 24.01.2019 |
Published in issue: #1(706)/2019 | |
Category: Aviation, Rocket and Technology | Chapter: Aerodynamics and Heat Transfer Processes in Aircraft | |
Keywords: rockets, Navier-Stokes equations, aerodynamic characteristics, deflectable element of the rudder, numerical simulation, turbulence model |
The article deals with the problems of reliable determination of aerodynamic characteristics of missiles and their individual elements under the conditions of transonic and supersonic flight regimes. An algorithm for numerical simulation of the aerodynamic flight characteristics of an isolated object is proposed. An algorithm for solving the problem of obtaining the aerodynamic characteristics of the whole body, as well as its individual elements, is described. A mathematical model of the flow around a solid body by transonic and supersonic turbulent flow is presented. Operating principles of the numerical scheme, methods of spatial and temporal discretization of equations, features of the boundary conditions and initial approximation are described. The studies of aerodynamic characteristics of the elements of an isolated object are performed on unstructured computational meshes. The hinge moments occurring on the deflected element of one of the opening rudders are calculated for Mach numbers 0.8 and 1.2, and the angles of attack in the range of –4 to 24 degrees. The obtained aerodynamic characteristics are compared with the experimental data of TsAGI. A conclusion about the correctness of the proposed method for studying aerodynamic characteristics of missiles in transonic and supersonic flight regimes is made.
References
[1] Kuz’min A.G., Simonenko M.M. Features of supersonic flow around an axisymmetric body with a protrusion at angles of attack. Eksperimental’nyye i teoreticheskiye issledovaniya v sovremennoy nauke. Sbornik statey po materialam 1 Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Experimental and theoretical studies in modern science. Collection of articles on the materials of the 1st International Scientific and Practical Conference]. 14 August 2017, Novosibirsk, SibAK publ., 2017, no. 1(1), pp. 84–89.
[2] Bykov L.V., Pashkov O.A., Pravidlo M.N., Yanyshev D.S. Numerical simulation of aerodynamic interference between ejected payload and the parent aircraft. RUDN Journal of Engineering Researches, 2018, vol. 19, pp. 22–37, doi: 10.22363/2312-8143-2018-19-1-22-37
[3] Belov I.A., Isayev S.A. Modelirovaniye turbulentnykh techeniy [Turbulent Flow Modeling]. Sankt-Petersburg, VOENMEH publ., 2001. 108 p.
[4] Weiss J.M., Maruszewski J.P., Smith W.A. Implicit Solution of the Navier-Stokes Equations on Unstructured Meshes. 13th Computational Fluid Dynamics Conference, 1997, no. AIAA-97-2103, pp. 139–149.
[5] Molchanov A.M. Matematicheskoye modelirovaniye zadach gazodinamiki i teplomassoobmena [Mathematical modeling of gas dynamics and heat and mass transfer problems]. Moscow, MAI publ., 2013. 206 p.
[6] Vargaftik N.B. Spravochnik po teplofizicheskim svoystvam gazov i zhidkostey [Handbook of thermophysical properties of gases and liquids]. Moscow, Nauka publ., 1972. 720 p.
[7] Gulyaev A.N., Kozlov V.Y., Secundov A.N. A universal one-equation model for turbulent viscosity. Fluid Dynamics, 1993, vol. 28, no. 4, pp. 485–494, doi: 10.1007/BF01342683
[8] Menter F.R. Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications. AIAA Journal, 1994, vol. 32(8), pp. 1598–1605, doi: 10.2514/3.12149
[9] Prandtl’ L., Reynol’ds O., Karman T., Byurgers I., Onzager L., Chorin A.Dzh. Problemy turbulentnosti. Sbornik perevodnykh statey [Problem of turbulence. Collection of translated articles]. Moscow, URSS publ., 2006. 404 p.
[10] Launder B.E., Spalding D.B. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, 1974, vol. 3, pp. 269–289, doi: 10.1016/0045-7825(74)90029-2
[11] Wilcox D.C. Turbulence Modeling for CFD. DCW Industries, Inc. La Canada, California. 1998. 477 p.
[12] Garbaruk A.V., Strelets M.Kh., Shur M.L. Modelirovaniye turbulentnosti v raschetakh slozhnykh techeniy [Modeling of turbulence in calculation of complex flows]. Sankt-Petersburg, POLYTECH publ., 2012. 88 p.
[13] Molchanov A.M., Shcherbakov M.A., Yanyshev D.S., Kuprikov M.Yu., Bykov L.V. Postroyeniye setok v zadachakh aviatsionnoy i kosmicheskoy tekhniki [Construction of grids in the tasks of aviation and space technology]. Kaluga, Eydos publ., 2013. 262 p.
[14] Yun A.A. Teoriya i praktika modelirovaniya turbulentnykh techeniy [Theory and practice of turbulent flow modeling]. Moscow, URSS publ., 2009. 272 p.
[15] Skvortsov A.V. Triangulyatsiya Delone i eye primeneniye [Delaunay Triangulation and its application]. Tomsk, TSU publ., 2002. 128 p.